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baherus
8 days ago
15

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(6) EndRoot Over 2(3) EndFraction x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4 (3)(6) EndRoot Over 2(3) EndFraction
Mathematics
2 answers:
Zina [11.9K]8 days ago
4 0

Answer:

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

we understand that

The quadratic equation solution formula for the structure ax^{2} +bx+c=0 is described as

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

for this particular equation we recognize

0=-3x^{2}-2x+6  

thus

a=-3\\b=-2\\c=6

insert values into the equation

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(-3)(6)}} {2(-3)}

therefore

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

zzz [11.8K]8 days ago
3 0

Answer:

the answer is a

Step-by-step explanation:

You might be interested in
In ΔJKL, k = 3.7 cm, ∠K=15° and ∠L=41°. Find the length of j, to the nearest 10th of a centimeter.
Svet_ta [12294]

Response:

The measurement of side j is 11.85cm.

Step-by-step clarification:

Given the situation

In triangle JKL,

\angle k=15

\angle l=41

Side k=LJ=3.7cm

To determine side j=KL:

Utilizing the sine rule

We can express it as

\frac{SinK}{LJ} = \frac{SinL}{JK} = \frac{SinJ}{KL} \\\frac{Sin15}{3.7} = \frac{Sin41}{JK} = \frac{SinJ}{KL}

Using the triangle's property

\angle k+\angle l+\angle j=180

15+41+\angle j=180

\angle j=124

\frac{Sin15}{3.7} = \frac{Sin41}{JK} = \frac{Sin124}{KL}\\\frac{Sin15}{3.7} = \frac{Sin124}{KL}\\KL=3.7\frac{Sin124}{Sin15}\\KL=3.7\frac{0.8290}{0.2588}\\KL=11.85cm

Hence,

The measurement of side j is 11.85cm.

8 0
12 days ago
A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4
zzz [11864]

Answer: The image of the line segment as reflected across the line y = –x.


Explanation:

In reflecting across the line y = -x, the coordinates of x and y will switch positions, and their signs will also switch.

Given: The endpoints of a line segment are (–1, 4) and (4, 1), and their reflection results in the endpoints (–4, 1) and (–1, –4).

(-1, 4)→(-4, 1) and

(4, 1)→(-1, -4)

This demonstrates the reflection of the line segment across the line y = –x.

4 0
1 month ago
Read 2 more answers
A special shape is 2.02 m long and 1.22 m wide. A double row of tiles makes a border . Each tile is 2cm by 2cm. How many tiles a
Svet_ta [12294]

Response:

6.48

Detailed explanation:

The calculation required to determine the number of tiles for the border is presented below:-

= 2 \times (length + breadth)

Here,

The length measures 2.02 m

And the width is 1.22

Substituting these dimensions into the formula provided above

Consequently, the total number of tiles necessary to create the border is

= 2 \times (2.02 + 1.22)

= 2 \times 3.24

= 6.48

Hence, to find the tiles required for the border, we utilized the aforementioned formula.

3 0
15 days ago
The graphs below have the same shape. What is the equation of the blue
PIT_PIT [11932]

Answer:

Answer choice C. g(x)=(x+3)^2+1.

Step-by-step explanation:

The entire question is present in the attached figure.

It is established that

The function f(x) is represented by

f(x)=x^2,

indicating a parabola that opens upward.

The vertex is situated at the point (0,0).

The function g(x) shares the same parabolic shape.

The vertex of g(x) is located at (-3,1).

Therefore,

The transformation from f(x) to g(x) can be described as:

(0,0) transforms to (-3,1).

(x,y) transforms to (x-3,y+1).

This indicates a shift of 3 units to the left and 1 unit upward.

Thus,

The equation for g(x) in vertex form can be expressed as

g(x)=(x+3)^2+1.

4 0
1 month ago
The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio
Zina [11999]

Response:

8861: 9495

Detailed explanation:

The income ratio for the years 2001 to 2003:

53,166: 56,970

To simplify, divide both sides by 6:

8,861: 9,495

This can't be simplified further, so that is the final result!

8861: 9495

I hope this helps! Have a great day:)

6 0
19 days ago
Read 2 more answers
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